Commutative Ring Theory

Nonfiction, Science & Nature, Mathematics, Algebra
Cover of the book Commutative Ring Theory by H. Matsumura, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: H. Matsumura ISBN: 9781107712997
Publisher: Cambridge University Press Publication: May 25, 1989
Imprint: Cambridge University Press Language: English
Author: H. Matsumura
ISBN: 9781107712997
Publisher: Cambridge University Press
Publication: May 25, 1989
Imprint: Cambridge University Press
Language: English

In addition to being an interesting and profound subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry. Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, Gorenstein rings, Krull rings and valuation rings. More advanced topics such as Ratliff's theorems on chains of prime ideals are also explored. The work is essentially self-contained, the only prerequisite being a sound knowledge of modern algebra, yet the reader is taken to the frontiers of the subject. Exercises are provided at the end of each section and solutions or hints to some of them are given at the end of the book.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

In addition to being an interesting and profound subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry. Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, Gorenstein rings, Krull rings and valuation rings. More advanced topics such as Ratliff's theorems on chains of prime ideals are also explored. The work is essentially self-contained, the only prerequisite being a sound knowledge of modern algebra, yet the reader is taken to the frontiers of the subject. Exercises are provided at the end of each section and solutions or hints to some of them are given at the end of the book.

More books from Cambridge University Press

Cover of the book Forbidden Configurations in Discrete Geometry by H. Matsumura
Cover of the book Women and Microfinance in the Global South by H. Matsumura
Cover of the book Principles of Conflict Economics by H. Matsumura
Cover of the book The Sources of Normativity by H. Matsumura
Cover of the book Number Theory, Fourier Analysis and Geometric Discrepancy by H. Matsumura
Cover of the book The Reunification of China by H. Matsumura
Cover of the book Print and Public Politics in the English Revolution by H. Matsumura
Cover of the book The European Nitrogen Assessment by H. Matsumura
Cover of the book Healthy Conflict in Contemporary American Society by H. Matsumura
Cover of the book William Blake in Context by H. Matsumura
Cover of the book The Rule of Law in Afghanistan by H. Matsumura
Cover of the book Stolen Women in Medieval England by H. Matsumura
Cover of the book The Economics of Freedom by H. Matsumura
Cover of the book Performing Citizenship in Plato's Laws by H. Matsumura
Cover of the book Formative Experiences by H. Matsumura
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy